Apark maintenance person stands 16 m from a circular monument. if you assume her lines of sight form tangents to the monument and make an angle of 34°, what is the measure of the arc of the monument that her lines of sight intersect?
a) 68
b) 292
c) 146
d) 17

Since we know that triangle ECT is right, dropping a perpendicular from point I (not labeled...it's where EC intersects the circle) to ET, creates similar triangle EIT' We can find the length of IT' using trigonometry. IT′=16sin(17)≈4.68so the ratio 16/4.68 = (16+r)/r Solving this for r, we get16r≈4.86(16)+4.68r11.32r≈74.88r≈6.61 Using this in the above formula gets uss=πrθ/180≈π(6.61)(146)/180≈16.9 The given answer of 17 is really close.

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